{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to Quantitative Finance\n",
    "\n",
    "Copyright (c) 2019 Python Charmers Pty Ltd, Australia, <https://pythoncharmers.com>. All rights reserved.\n",
    "\n",
    "<img src=\"img/python_charmers_logo.png\" width=\"300\" alt=\"Python Charmers Logo\">\n",
    "\n",
    "Published under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license. See `LICENSE.md` for details.\n",
    "\n",
    "Sponsored by Tibra Global Services, <https://tibra.com>\n",
    "\n",
    "<img src=\"img/tibra_logo.png\" width=\"300\" alt=\"Tibra Logo\">\n",
    "\n",
    "\n",
    "## Module 1.7: Kalman Filters\n",
    "\n",
    "# 1.7.1 Introduction to Kalman Filters\n",
    "\n",
    "Imagine we have data coming in from a sensor at regular time intervals. This could be anything from a thermometer measuring the temperature, a image recognition system measuring the number of people in a room, or people placing buy orders on a given stock. To simplify our example, we will imagine that the thing we are measuring is constant during the time we are measuring (constant temperature, number of people in the room, and constant \"actual\" price for the stock).\n",
    "\n",
    "As those measurements come in, there will be a measurement itself, and some error from the \"true\" value we are measuring. For instance, there may be 20 people in a room, but one is obscured and our image recognition system doesn't pick one up, giving an estimate of 19. After a minute, we check again, and a painting on the wall has been incorrectly counted as a person, giving an estimate of 21. These errors could be large or small (but assumed iid normally).\n",
    "\n",
    "A Kalman filter is a process for iteratively taking new data and updating our estimate of the true value. As an overview of the process, we start at time $t=0$ with an initial estimate (or prediction) ${P}_t$ and an estimated error in the estimate $E_{P}$. We then receive a new measurement $x$ and the process begins:\n",
    "\n",
    "1. Compute the Kalman Gain, which is a ratio of the estimated error versus the total error\n",
    "2. Update our estimate using the Kalman Gain, which provides us a value we can use for reporting the predicted true value\n",
    "3. Update the estimated error using the Kalman Gain, which is used in the next iteration\n",
    "\n",
    "We then update these steps every time a new data point comes in. It is called a filter, because a Kalman Filter is filtering out the noise in the data.\n",
    "\n",
    "Kalman filters are a special instance of Recursive Bayesian Filters (see [Section 2 here](http://www.cs.cmu.edu/~16831-f14/notes/F14/16831_lecture02_prayana_tdecker_humphreh.pdf)), known as Bayes filter. Motivating it from our previous module on Bayesian inference, Kalman filters are iterative updates of Bayes' theorem, with a prior of the estimated error being used. Additionally, the updates incorporate how much we believe the data over our *a priori* belief. Bayes filters are a more general algorithm that extends Kalman filters and the concepts introduced in the Bayesian inference modules."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%run setup.ipy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "# A simple Kalman filter\n",
    "\n",
    "class KalmanFilter:\n",
    "    \n",
    "    def __init__(self, original_estimate, \n",
    "                 estimated_measurement_error, \n",
    "                 original_estimated_error=0,\n",
    "                    process_variance_error=0.1):\n",
    "        self.current_estimate = original_estimate\n",
    "        self.estimated_measurement_error = estimated_measurement_error\n",
    "        self.current_error = original_estimated_error\n",
    "        self.process_variance_error = process_variance_error\n",
    "        self.estimates = []\n",
    "        \n",
    "        \n",
    "    def update(self, new_data):\n",
    "        kalman_gain = 1e-6 + self.current_error / (self.current_error + self.estimated_measurement_error)\n",
    "        # print(kalman_gain, self.current_error, self.current_estimate)\n",
    "        # Update estimate\n",
    "        self.current_estimate = self.current_estimate + kalman_gain * (new_data - self.current_estimate)\n",
    "        self.current_error = self.process_variance_error + (1 - kalman_gain) * self.current_error  # Update error\n",
    "        self.estimates.append(self.current_estimate)\n",
    "        return self.current_estimate\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "temperature_filter = KalmanFilter(30, 5, 2)  # Estimating a temperature of 30 degrees and measurement error of 5\n",
    "# You estimate (make up) these values. The closer you are to correct, the faster you converge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "27.999993"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature_filter.update(23)  # Measured temperature of 23 degrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "27.297585340624874"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature_filter.update(25)  # Measured temperature of 25 degrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "27.23728301758805"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature_filter.update(27)  # Measured temperature of 27 degrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "26.283589051582236"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temperature_filter.update(22)  # Measured temperature of 22 degrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.random.randn(1000) * 5 + 25\n",
    "\n",
    "for measurement in data:\n",
    "    estimated_temperature = temperature_filter.update(measurement)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "26.443947163500006"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimated_temperature"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "1. Update the class to record all estimates given over time as an attribute\n",
    "2. Plot the estimated value over time\n",
    "3. Modify the code to perform estimates for two values - say temperature and humidity, as they are provided at the same time do the update function like this:\n",
    "\n",
    "    ```measurements = np.array([temperature, humidity])\n",
    "    filter.update(measurements)```\n",
    "\n",
    "Note how the variation in the error becomes small\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*For solutions see `solutions/kalman_basics.py`*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2dc68e50a50>]"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Question 1\n",
    "class KalmanFilter:\n",
    "    \n",
    "    def __init__(self, original_estimate, estimated_measurement_error, original_estimated_error=0):\n",
    "        self.current_estimate = original_estimate\n",
    "        self.estimated_measurement_error = estimated_measurement_error\n",
    "        self.current_error = original_estimated_error\n",
    "        self.estimates = []\n",
    "        \n",
    "    def update(self, new_data):\n",
    "        kalman_gain = 1e-6 + self.current_error / (1e-6 + self.current_error + self.estimated_measurement_error)\n",
    "        # print(kalman_gain, self.current_error, self.current_estimate)\n",
    "        # Update estimate\n",
    "        self.current_estimate = self.current_estimate + kalman_gain * (new_data - self.current_estimate)\n",
    "        self.current_error = (1 - kalman_gain) * self.current_error  # Update error\n",
    "        self.estimates.append(self.current_estimate)\n",
    "        return self.current_estimate\n",
    "    \n",
    "data = np.random.randn(1000) * 5 + 25\n",
    "temperature_filter = KalmanFilter(30, 5, 2)\n",
    "\n",
    "for measurement in data:\n",
    "    estimated_temperature = temperature_filter.update(measurement)\n",
    "# Question 2\n",
    "plt.plot(temperature_filter.estimates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2dc68efe110>]"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data, 'o', alpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Question 3\n",
    "# Variance of 5 degrees in temperature, 10 in humidity\n",
    "# Mean of 25 for temperature, 70 for humidity\n",
    "data = np.random.randn(1000, 2) * [5, 10] + [25, 70]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "original_estimate = np.array([30, 60])\n",
    "estimated_measurement_error = np.array([5, 5])\n",
    "original_estimated_error = np.array([2, 10])\n",
    "weather_filter = KalmanFilter(original_estimate=original_estimate,\n",
    "                              estimated_measurement_error=estimated_measurement_error,\n",
    "                              original_estimated_error=original_estimated_error)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "for row in data:\n",
    "    weather_filter.update(row)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([24.96880837, 70.02387738])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weather_filter.current_estimate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "estimates = np.array(weather_filter.estimates)  # Convert to array so dimensional indexing works"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2dc68f4d590>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(estimates[:,0], 'r-', label=\"temperature\")\n",
    "plt.plot(estimates[:,1], 'g-', label=\"humidity\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.75886926, 0.75886926])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weather_filter.current_error"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### State transitions\n",
    "\n",
    "Kalman filters can be extended to include state transitions. A common usage in the real world is for smoothing GPS data. In such data we get the estimated current position and the estimated velocity. In both cases, the values are estimates. GPS satellites move around and it can be hard for GPS systems to get a good fix on the data. Further, velocity is computed from position, so it also has a measurement error.\n",
    "\n",
    "In this example, we have a transition from one state to another. Given a current state with a position and velocity, we can predict where the next position would be. We can then get actual data at our next time point, and the the Kalman filter can be used to smooth out the measurement error in this case.\n",
    "\n",
    "Given a current state of:\n",
    "\n",
    "$ X_t = [x, y, v_x, v_y]^T$\n",
    "\n",
    "Where $(x, y)$ is the objects current position, $v_x$ is the velocity in the $x$ direction and $v_y$ is the velocity in the $y$ direction.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this transition, we can predict the position at $X_{t+1}$ by adding the velocity to the position, with respect to how far into the future we are predicting.\n",
    "\n",
    "States are updated according to the following general pattern:\n",
    "\n",
    "$X_t = AX_{t-1} + Bu_{t} + w_t$\n",
    "\n",
    "Where\n",
    "\n",
    "* $A$ is a state change matrix. In our case, one that adds velocity to the old position\n",
    "* $B$ is the control variable matrix, which accounts for added factors, such as the acceleration of an object (i.e. if we are tracking a falling object, this would account for gravity).\n",
    "* $u_t$ is the control variable matrix \n",
    "* $w$ is the noise in the process. It is optional, but if properly modelled it can improve the results if used.\n",
    "\n",
    "\n",
    "In the case of the above example, our state transition matrix looks like this:\n",
    "\n",
    "$A = \\begin{bmatrix}\n",
    "1 & 0 & \\Delta t & 0 \\\\\n",
    "0 & 1 & 0 & \\Delta t \\\\\n",
    "0 & 0 & 1 & 0 \\\\\n",
    "0 & 0 & 0 & 1 \n",
    "\\end{bmatrix}  $\n",
    "\n",
    "Where $\\Delta t$ is how much time it has been since we last updated the position.\n",
    "\n",
    "Computing the dot product $AX_{t-1}$ will produce the new position and velocity $X_t$, if we assume that there is no velocity change. Velocity change is managed by the matrix product $Bu_t$.\n",
    "\n",
    "For example if we had an object in free fall (and ignored wind resistance), it would be accelerating at a rate of $-9.8ms^-2$. This would give $u_t = [0, -9.8]^T$. The matrix B would then be:\n",
    "\n",
    "$B = \\begin{bmatrix}\n",
    "\\frac{1}{2}\\Delta t^2 & 0 \\\\\n",
    "0 & \\frac{1}{2}\\Delta t^2 \\\\\n",
    "\\Delta t & 0 \\\\\n",
    "0 & \\Delta t\n",
    "\\end{bmatrix} $\n",
    "\n",
    "For other systems, different state transition matrices $A$, $B$ and $u$ are needed, but they have the same responsibilities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Compute the state transition for an object being dropped in a vacuum. The object starts 100m in the air and is dropped straight down.\n",
    "\n",
    "* What are the values for $X_{t-1}$, $A$, $B$ and $u_t$?\n",
    "* What is the predicted position after 5 seconds?\n",
    "\n",
    "Compute this both by hand (the number of computations is reasonably small but non-trivial) and also using NumPy, and compare the results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this computed, we can then receive new measurements, and update our model according to the computed Kalman Gain. While the computation is slightly different to the example at the start of this module, the general workflow is the same."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### When to use Kalman Filters\n",
    "\n",
    "Kalman filters are a simple algorithm with lots of predictive power, where such predictions can be found. They are often used, however, when such a state transition matrix can be properly defined, as this gives the method its greatest predictive power (over simpler algorithms such as OLS). When the state of a system changes or that change is uncertain, Kalman filters are able to change too, providing an improvement over OLS algorithms, which tend to be smoother with predictions.\n",
    "\n",
    "An example usage outside of finance is GPS systems. The GPS co-ordinates provided by a GPS tracker are only accurate to some degree of error. This error is caused by many things, such as reflections of the satellite signal or interference. In a moving vehicle, if these errors are unaccounted for, the result is a \"jumpy\" set of co-ordinates - the vehicle may drive down a straight road, but the GPS signals will bounce from side to side, and forwards to backwards randomly (usually with about up to 10m variation depending on signal strength). A Kalman Filter can be used to take the existing knowledge of the state (\"the vehicle is travelling in this direction\") and take the new data (a point with some error) and smooth the relationship between the two. This reduces the effect of measurement error on the resulting path."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### An Example in stock price prediction\n",
    "\n",
    "We will end this module with an example on stock price prediction using a Kalman filter. First, we will get some price data and compute the movements (rather than absolute prices). We are going to choose a stock with a long history and a seemingly stable price, and our theory is going to be that the stock is correctly valued and any major deviations will be corrected over time.\n",
    "\n",
    "<div class=\"alert alert-warning\">\n",
    "    <p>\n",
    "    There are a few Kalman filter libraries for python, including simdkalman and pyfilter. We have tested these and found them lacking in robustness and documentation, with some clear gaps in the libraries. Feel free to test them out, but note we haven't found a good, solid and reliable Kalman filter library.</p>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we load the data and compute the movements of the stock:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.1, 0.1)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import quandl\n",
    "import my_secrets\n",
    "quandl.ApiConfig.api_key = my_secrets.QUANDL_API_KEY\n",
    "\n",
    "stocks = quandl.get(\"WIKI/IBM\")\n",
    "\n",
    "stocks = stocks.asfreq('d')  # Set a frequency on the time series index\n",
    "\n",
    "close = stocks['Adj. Close']\n",
    "\n",
    "movement = close.pct_change().dropna()\n",
    "\n",
    "fig = movement[\"2015\":].plot()\n",
    "fig.set_ylim(-0.1, 0.1)  # Note there are quite a few outliers, such as a 30% drop!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "movement.mean()  # basically 0\n",
    "\n",
    "movement = movement - movement.mean()  # Still, demean the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Date'>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "movement[\"2015\":].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We fit a Kalman Filter to the data. The original estimates and errors here are just \"values\" - no special effort went into choosing them, with the idea that the Kalman filter will eventually learn better values anyway."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu = movement[:\"2014\"].mean()\n",
    "std = np.sqrt(movement[:\"2014\"].std())\n",
    "\n",
    "kf = KalmanFilter(original_estimate=1,\n",
    "                 original_estimated_error=1,\n",
    "                 estimated_measurement_error=std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6.968591685742195e-06, 0.11821204178195706)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mu, std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "smoothed = pd.Series([kf.update(row) for row in movement], index=movement.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2dc685f6350>]"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 4))\n",
    "plt.plot(smoothed[\"2015\":][::5], 'r-', alpha=0.5)\n",
    "plt.plot(movement[\"2015\":][::5], 'g-', alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Over this whole period, the Kalman Filter is essentially predicting the mean of the movements. Remembering that we removed the trend, we should expect, and find that, the prediction is 0. The continued belief that the mean is zero confirms our original assumption that the movements are independent. In this case, the Kalman Filter was unable to adequately find a pattern to exploit. Note, however, that it has very little data to work with - if such a model was able to adequately explain the market, it would be in use already."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2dc686b7a50>]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 4))\n",
    "plt.plot(smoothed.head(30), 'r-', alpha=0.5)\n",
    "plt.plot(movement.head(30), 'g-', alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Extended Exercise\n",
    "\n",
    "Modify the Kalman Filter code to include a predict function that can predict the next `n` timesteps in the series. To do this, predict the next value, use that as a data point for predicting the next one, and so on.\n",
    "\n",
    "For an added challenge, ensure the function does not alter the internal state of the Kalman Filter instance. That is, you should be able to run your `predict` function twice and get the same result."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
